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Finding the Third Proportional to 266,534 and 629,194.25

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Solution

The third proportional to 266,534 and 629,194.25 is: 1,485,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,534 : 629,194.25 = 629,194.25 : x
  2. Step 2: Convert to fraction form
    266,534/629,194.25 = 629,194.25/x
  3. Step 3: Cross multiply
    266,534x = 629,194.25 × 629,194.25
  4. Step 4: Simplify right side
    266,534x = 395,885,404,233.06
  5. Step 5: Solve for x
    x = 395,885,404,233.06/266,534
  6. Step 6: Final answer
    x = 1,485,309.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.